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Single-particle strength toward N=32: Spectroscopy of Ca51 via the Ca50(d,p) reaction

C. Ferrera1, K. Wimmer2,3,*, D. Suzuki4,†, N. Imai5, A. Jungclaus1, T. Miyagi6, Y. Utsuno7, D. Das2,8, T. Chillery5 et al.

S. Hanai5,‡, J. W. Hwang9, N. Kitamura5, R. Kojima5, S. Michimasa5, R. Yokoyama5, Y. Anuar5, M. Armstrong10,2, S. Bae5, Y. Cho9, M. Dozono11,4, F. Endo12,4, S. Escrig1, N. Fukuda4, T. Haginouchi13, S. Hayakawa5, Y. Hijikata4, G. Ikemizu11, S. Ishio13, A. Kasagi14,15, K. Kawata5, J. Li5, S. Masuoka5, B. Moon9, K. Okawa5, S. Ota12,5, H. Qin5, T. Saito5, A. Sakaue5, H. Sakurai4, Y. Shimizu4, S. Shimoura4,5, Y. Son9, T. Sumikama4, H. Suzuki4, H. Takeda4, Y. Togano4, J. Vesic16, K. Yako5, Y. Yamamoto5, K. Yoshida4, and M. Yoshimoto4

  • *Contact author: k.wimmer@gsi.de
  • Present address: Department of Physics and Quark Nuclear Science Institute, the University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan.
  • Present address: Department of Physics, Institute of Science Tokyo, Tokyo 152-8550, Japan.

Phys. Rev. C 113, 044311 – Published 14 April, 2026

DOI: https://doi.org/10.1103/3fdc-j3bf

Abstract

States in the neutron-rich isotope Ca51 were populated via the Ca50(d,p) transfer reaction in inverse kinematics at a beam energy of about 14AMeV. The experiment was performed using a decelerated radioactive Ca50 beam from the OEDO facility and the TiNA2 silicon array in combination with the SHARAQ magnetic spectrometer at RIBF/RIKEN. The energies of excited states in Ca51 were reconstructed via missing mass spectroscopy, and angular distributions of protons were measured to extract differential cross sections. From a comparison with adiabatic distorted wave approximation calculations, spectroscopic factors were deduced for several states, including the ground state and excited states up to 4.2 MeV. These results are compared with shell-model calculations, as well as ab initio valence-space in-medium similarity renormalization group predictions. The data support the assignment of the 1/2 and 5/2 single-particle states and provide evidence for a candidate 9/2+ state with a structure consistent with neutron excitation into the 0g9/2 orbital. These findings contribute new constraints on the single-particle structure and shell evolution in neutron-rich calcium isotopes.

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Physics Subject Headings (PhySH)

Corrections

28 April, 2026

Correction: Typographical errors in the value for the beam energy in the first and eighth sentences of Sec. II A and in the penultimate sentence of Sec. II C have been fixed. Typographical errors in the values for target thickness in Sec. II A have been fixed.

Article Text

References (50)

  1. F. Wienholtz, D. Beck, K. Blaum, C. Borgmann, M. Breitenfeldt, R. B. Cakirli, S. George, F. Herfurth, J. D. Holt, M. Kowalska, S. Kreim, D. Lunney, V. Manea, J. Menéndez, D. Neidherr, M. Rosenbusch, L. Schweikhard, A. Schwenk, J. Simonis, J. Stanja, et al., Masses of exotic calcium isotopes pin down nuclear forces, Nature (London) 498, 346 (2013).
  2. S. Michimasa, M. Kobayashi, Y. Kiyokawa, S. Ota, D. S. Ahn, H. Baba, G. P. A. Berg, M. Dozono, N. Fukuda, T. Furuno, E. Ideguchi, N. Inabe, T. Kawabata, S. Kawase, K. Kisamori, K. Kobayashi, T. Kubo, Y. Kubota, C. S. Lee, M. Matsushita, et al., Magic nature of neutrons in Ca54: First mass measurements of Ca5557, Phys. Rev. Lett. 121, 022506 (2018).
  3. A. Huck, G. Klotz, A. Knipper, C. Miehé, C. Richard-Serre, G. Walter, A. Poves, H. L. Ravn, and G. Marguier, Beta decay of the new isotopes K52, Ca52, and Sc52; A test of the Shell model far from stability, Phys. Rev. C 31, 2226 (1985).
  4. D. Steppenbeck, S. Takeuchi, N. Aoi, P. Doornenbal, M. Matsushita, H. Wang, H. Baba, N. Fukuda, S. Go, M. Honma, J. Lee, K. Matsui, S. Michimasa, T. Motobayashi, D. Nishimura, T. Otsuka, H. Sakurai, Y. Shiga, P.-A. Soderstrom, T. Sumikama, et al., Evidence for a new nuclear ‘magic number’ from the level structure of Ca54, Nature (London) 502, 207 (2013).
  5. H. N. Liu, A. Obertelli, P. Doornenbal, C. A. Bertulani, G. Hagen, J. D. Holt, G. R. Jansen, T. D. Morris, A. Schwenk, R. Stroberg, N. Achouri, H. Baba, F. Browne, D. Calvet, F. Château, S. Chen, N. Chiga, A. Corsi, M. L. Cortés, A. Delbart, et al., How robust is the N=34 subshell closure? first spectroscopy of Ar52, Phys. Rev. Lett. 122, 072502 (2019).
  6. O. B. Tarasov, D. S. Ahn, D. Bazin, N. Fukuda, A. Gade, M. Hausmann, N. Inabe, S. Ishikawa, N. Iwasa, K. Kawata, T. Komatsubara, T. Kubo, K. Kusaka, D. J. Morrissey, M. Ohtake, H. Otsu, M. Portillo, T. Sakakibara, H. Sakurai, H. Sato, et al., Discovery of Ca60 and implications for the stability of Ca70, Phys. Rev. Lett. 121, 022501 (2018).
  7. T. Otsuka, R. Fujimoto, Y. Utsuno, B. A. Brown, M. Honma, and T. Mizusaki, Magic numbers in exotic nuclei and spin-isospin properties of the NN interaction, Phys. Rev. Lett. 87, 082502 (2001).
  8. J. D. Holt, T. Otsuka, A. Schwenk, and T. Suzuki, Three-body forces and shell structure in calcium isotopes, J. Phys. G 39, 085111 (2012).
  9. W. Catford, L. Fifield, T. Ophel, N. Orr, D. Weisser, and C. Woods, Study of Ca51 via three-neutron transfer, Nucl. Phys. A 489, 347 (1988).
  10. F. Perrot, F. Maréchal, C. Jollet, P. Dessagne, J.-C. Angélique, G. Ban, P. Baumann, F. Benrachi, U. Bergmann, C. Borcea, A. Buţă, J. Cederkall, S. Courtin, J.-M. Daugas, L. M. Fraile, S. Grévy, A. Jokinen, F. R. Lecolley, E. Liénard, G. Le Scornet, et al., β-decay studies of neutron-rich K isotopes, Phys. Rev. C 74, 014313 (2006).
  11. M. Rejmund, S. Bhattacharyya, A. Navin, W. Mittig, L. Gaudefroy, M. Gelin, G. Mukherjee, F. Rejmund, P. Roussel-Chomaz, and C. Theisen, Shell evolution and the n=34 “magic number”, Phys. Rev. C 76, 021304(R) (2007).
  12. B. Fornal, R. V. F. Janssens, R. Broda, N. Marginean, S. Beghini, L. Corradi, M. P. Carpenter, G. DeAngelis, F. D. Vedova, E. Farnea, E. Fioretto, A. Gadea, B. Guiot, M. Honma, W. Królas, T. Lauritsen, S. Lunardi, P. F. Mantica, P. Mason, G. Montagnoli, et al., Yrast structure of the neutron-rich n=31 isotones Ca51 and Sc52, Phys. Rev. C 77, 014304 (2008).
  13. L. A. Riley, D. M. McPherson, M. L. Agiorgousis, T. R. Baugher, D. Bazin, M. Bowry, P. D. Cottle, F. G. DeVone, A. Gade, M. T. Glowacki, S. D. Gregory, E. B. Haldeman, K. W. Kemper, E. Lunderberg, S. Noji, F. Recchia, B. V. Sadler, M. Scott, D. Weisshaar, and R. G. T. Zegers, Octupole strength in the neutron-rich calcium isotopes, Phys. Rev. C 93, 044327 (2016).
  14. M. Enciu, H. N. Liu, A. Obertelli, P. Doornenbal, F. Nowacki, K. Ogata, A. Poves, K. Yoshida, N. L. Achouri, H. Baba, F. Browne, D. Calvet, F. Château, S. Chen, N. Chiga, A. Corsi, M. L. Cortés, A. Delbart, J.-M. Gheller, A. Giganon, et al., Extended p3/2 neutron orbital and the n=32 shell closure in Ca52, Phys. Rev. Lett. 129, 262501 (2022).
  15. R. F. Garcia Ruiz, M. L. Bissell, K. Blaum, N. Frömmgen, M. Hammen, J. D. Holt, M. Kowalska, K. Kreim, J. Menéndez, R. Neugart, G. Neyens, W. Nörtershäuser, F. Nowacki, J. Papuga, A. Poves, A. Schwenk, J. Simonis, and D. T. Yordanov, Ground-state electromagnetic moments of calcium isotopes, Phys. Rev. C 91, 041304(R) (2015).
  16. T. Kubo, D. Kameda, H. Suzuki, N. Fukuda, H. Takeda, Y. Yanagisawa, M. Ohtake, K. Kusaka, K. Yoshida, N. Inabe, T. Ohnishi, A. Yoshida, K. Tanaka, and Y. Mizoi, Bigrips separator and zerodegree spectrometer at riken RI Beam Factory, Prog. Theo. Exp. Phys. 2012, 03C003 (2012).
  17. S. Michimasa, J. Hwang, K. Yamada, S. Ota, M. Dozono, N. Imai, K. Yoshida, Y. Yanagisawa, K. Kusaka, M. Ohtake, M. Matsushita, D. S. Ahn, O. Beliuskina, N. Chiga, K. Chikaato, N. Fukuda, S. Hayakawa, E. Ideguchi, K. Iribe, C. Iwamoto, et al., Oedo, the energy-degrading beamline at RI Beam Factory, Prog. Theo. Exp. Phys. 2019, 043D01 (2019).
  18. S. Michimasa, M. Takaki, M. Dozono, S. Go, H. Baba, E. Ideguchi, K. Kisamori, H. Matsubara, H. Miya, S. Ota, H. Sakai, S. Shimoura, A. Stolz, T. Tang, H. Tokieda, T. Uesaka, and R. Zegers, Development of CVD diamond detector for time-of-flight measurements, Nucl. Instrum. Methods Phys. Res. B 317, 710 (2013).
  19. S. Hanai, S. Ota, R. Kojima, S. Masuoka, M. Dozono, N. Imai, S. Michimasa, S. Shimoura, J. Zenihiro, K. Inaba, and Y. Hijikata, Development of strip-readout ppac for high-intensity heavy ions, Nucl. Instrum. Methods Phys. Res. B 541, 194 (2023).
  20. J. Hwang, S. Michimasa, S. Ota, M. Dozono, N. Imai, K. Yoshida, Y. Yanagisawa, K. Kusaka, M. Ohtake, D. S. Ahn, O. Beliuskina, N. Fukuda, C. Iwamoto, S. Kawase, K. Kawata, N. Kitamura, S. Masuoka, H. Otsu, H. Sakurai, P. Schrock, et al., Angle-tunable wedge degrader for an energy-degrading ri beamline, Prog. Theo. Exp. Phys. 2019, 043D02 (2019).
  21. T. Uesaka, S. Shimoura, H. Sakai, and for the SHARAQ Collaboration, The SHARAQ spectrometer, Prog. Theo. Exp. Phys. 2012, 3C007 (2012).
  22. P. Schrock, Y. Beaujeault-Taudiere, N. Imai, K. Iribe, N. Kitamura, J. H. Ong, D. Suzuki, T. Teranishi, and K. Wimmer, Tina - A silicon tracker for transfer reactions, RIKEN Accel. Prog. Rep. 51, 20 (2018).
  23. B. Mauss, J. W. Hwang, D. Suzuki, N. Ma, N. Imai, M. Dozono, S. Michimasa, T. Sumikama, S. Ota, C. Iwamoto, N. Iwasa, and F. Endo, Upgrade of the Si-CsI array TiNA for transfer reactions at oedo, RIKEN Accel. Prog. Rep. 54, 114 (2021).
  24. E. C. Pollacco, G. F. Grinyer, F. Abu-Nimeh, T. Ahn, S. Anvar, A. Arokiaraj, Y. Ayyad, H. Baba, M. Babo, P. Baron, D. Bazin, S. Beceiro-Novo, C. Belkhiria, M. Blaizot, B. Blank, J. Bradt, G. Cardella, L. Carpenter, S. Ceruti, E. D. Filippo, et al., Get: A generic electronics system for TPCs and nuclear physics instrumentation, Nucl. Instrum. Methods Phys. Res. A 887, 81 (2018).
  25. S. Agostinelli, J. Allison, K. Amako, J. Apostolakis, H. Araujo, P. Arce, M. Asai, D. Axen, S. Banerjee, G. Barrand, F. Behner, L. Bellagamba, J. Boudreau, L. Broglia, A. Brunengo, H. Burkhardt, S. Chauvie, J. Chuma, R. Chytracek, G. Cooperman, et al., Geant4—A simulation toolkit, Nucl. Instrum. Methods Phys. Res. A 506, 250 (2003).
  26. A. Matta, P. Morfouace, N. d. Séréville, F. Flavigny, M. Labiche, and R. Shearman, Nptool: A simulation and analysis framework for low-energy nuclear physics experiments, J. Phys. G 43, 045113 (2016).
  27. ATIMA, https://web-docs.gsi.de/~weick/atima/.
  28. A. Gavron, Statistical model calculations in heavy ion reactions, Phys. Rev. C 21, 230 (1980).
  29. M. Wang, W. Huang, F. Kondev, G. Audi, and S. Naimi, The ame 2020 atomic mass evaluation (ii). Tables, graphs and references, Chin. Phys. C 45, 030003 (2021).
  30. A. Koning and J. Delaroche, Local and global nucleon optical models from 1 keV to 200 MeV, Nucl. Phys. A 713, 231 (2003).
  31. I. J. Thompson, Coupled reaction channels calculations in nuclear physics, Comput. Phys. Rep. 7, 167 (1988).
  32. H. L. Crawford, A. O. Macchiavelli, P. Fallon, M. Albers, V. M. Bader, D. Bazin, C. M. Campbell, R. M. Clark, M. Cromaz, J. Dilling, A. Gade, A. Gallant, J. D. Holt, R. V. F. Janssens, R. Krücken, C. Langer, T. Lauritsen, I. Y. Lee, J. Menéndez, S. Noji, et al., Unexpected distribution of ν1f7/2 strength in Ca49, Phys. Rev. C 95, 064317 (2017).
  33. T. Aumann, C. Barbieri, D. Bazin, C. Bertulani, A. Bonaccorso, W. Dickhoff, A. Gade, M. Gómez-Ramos, B. Kay, A. Moro, T. Nakamura, A. Obertelli, K. Ogata, S. Paschalis, and T. Uesaka, Quenching of single-particle strength from direct reactions with stable and rare-isotope beams, Prog. Part. Nucl. Phys. 118, 103847 (2021).
  34. O. Iwamoto, A. Nohtomi, Y. Uozumi, T. Sakae, M. Matoba, M. Nakano, T. Maki, and N. Koori, Single-particle states in Ni59 with Ni58(d,p)Ni59 reaction at 56 MeV and neutron-bound-state complex potentials, Nucl. Phys. A 576, 387 (1994).
  35. A. v. d. Decken, M. Goldschmidt, A. Heusler, H. V. Klapdor, W. Reiter, D. Rieck, W. Saathoff, C. A. Wiedner, and D. Dehnhard, Study of the ground state doublet in Fe57, Z. Phys. 260, 247 (1973).
  36. H. Sen Gupta, A. Majumder, and E. Lin, A study of the level structure in Fe57 from the (d,p) reaction on Fe56, Nucl. Phys. A 160, 529 (1971).
  37. J. A. Thomson, Structure of Fe57 studied with Fe56(d,p)Fe57 reactions, Nucl. Phys. A 227, 485 (1974).
  38. A. Macgregor and G. Brown, A study of the Cr54(d,p)Cr55 and Cr53(t,p)Cr55 reactions, Nucl. Phys. A 198, 237 (1972).
  39. R. H. Fulmer and A. L. McCarthy, Nuclear structure studies in isotopes of nickel and iron, Phys. Rev. 131, 2133 (1963).
  40. Y. Uozumi, O. Iwamoto, S. Widodo, A. Nohtomi, T. Sakae, M. Matoba, M. Nakano, T. Maki, and N. Koori, Single-particle strengths measured with Ca48(d,p)Ca49 reaction at 56 MeV, Nucl. Phys. A 576, 123 (1994).
  41. A. Gade, J. A. Tostevin, V. Bader, T. Baugher, D. Bazin, J. S. Berryman, B. A. Brown, D. J. Hartley, E. Lunderberg, F. Recchia, S. R. Stroberg, Y. Utsuno, D. Weisshaar, and K. Wimmer, One-neutron pickup into Ca49: Bound neutron g9/2 spectroscopic strength at n=29, Phys. Rev. C 93, 031601(R) (2016).
  42. M. Honma, T. Otsuka, and T. Mizusaki, Shell-model description of neutron-rich Ca isotopes, RIKEN Accel. Prog. Rep. 41, 32 (2008).
  43. Y. Utsuno, T. Otsuka, B. A. Brown, M. Honma, T. Mizusaki, and N. Shimizu, Shell evolution around and beyond n=28 studied with large-scale Shell-model calculations, Prog. Theor. Phys. Suppl. 196, 304 (2012).
  44. H. Hergert, S. Bogner, T. Morris, A. Schwenk, and K. Tsukiyama, The in-medium similarity renormalization group: A novel ab initio method for nuclei, Phys. Rep. 621, 165 (2016).
  45. S. R. Stroberg, H. Hergert, S. K. Bogner, and J. D. Holt, Nonempirical interactions for the nuclear Shell model: An update, Annu. Rev. Nucl. Part. Sci. 69, 307 (2019).
  46. K. Hebeler, S. K. Bogner, R. J. Furnstahl, A. Nogga, and A. Schwenk, Improved nuclear matter calculations from chiral low-momentum interactions, Phys. Rev. C 83, 031301(R) (2011).
  47. T. Miyagi, S. R. Stroberg, J. D. Holt, and N. Shimizu, Ab initio multishell valence-space Hamiltonians and the island of inversion, Phys. Rev. C 102, 034320 (2020).
  48. T. Miyagi, NuHamil: A numerical code to generate nuclear two- and three-body matrix elements from Chiral effective field theory, Eur. Phys. J. A 59, 150 (2023).
  49. S. R. Stroberg, https://github.com/ragnarstroberg/imsrg.
  50. N. Shimizu, T. Mizusaki, Y. Utsuno, and Y. Tsunoda, Thick-restart block Lanczos method for large-scale shell-model calculations, Comput. Phys. Commun. 244, 372 (2019).

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